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x^2-8x+16=0

x^2-8x+16=0 equation

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Numerical solution:

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The solution

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x  - 8*x + 16 = 0
(x2−8x)+16=0\left(x^{2} - 8 x\right) + 16 = 0
Simplify
Detail solution
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=−8b = -8
c=16c = 16
, then
D = b^2 - 4 * a * c = 

(-8)^2 - 4 * (1) * (16) = 0

Because D = 0, then the equation has one root.
x = -b/2a = --8/2/(1)

x1=4x_{1} = 4
Vieta's Theorem
it is reduced quadratic equation
px+q+x2=0p x + q + x^{2} = 0
where
p=bap = \frac{b}{a}
p=−8p = -8
q=caq = \frac{c}{a}
q=16q = 16
Vieta Formulas
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=8x_{1} + x_{2} = 8
x1x2=16x_{1} x_{2} = 16
The graph
-7.5-5.0-2.50.02.55.07.510.012.515.017.520.00200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 4
x1=4x_{1} = 4 
x1 = 4
Sum and product of roots [src] 
sum
4
44 
=
4
44 
product
4
44 
=
4
44 
4
Numerical answer [src] 
x1 = 4.0
x1 = 4.0
The graph
x^2-8x+16=0 equation
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